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Finding the Fourth Proportional to 13,827.99, 20,746.17 and 4,942.17

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Solution

The fourth proportional to 13,827.99, 20,746.17 and 4,942.17 is: 7,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.99 : 20,746.17 = 4,942.17 : x
  2. Step 2: Convert to fraction form
    13,827.99/20,746.17 = 4,942.17/x
  3. Step 3: Cross multiply
    13,827.99x = 20,746.17 × 4,942.17
  4. Step 4: Simplify right side
    13,827.99x = 102,531,098.99
  5. Step 5: Solve for x
    x = 102,531,098.99/13,827.99
  6. Step 6: Final answer
    x = 7,414.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.